振荡管内非定常流动的数值模拟

Numerical simulation of unsteady flow in oscillatory tube

建立了振荡管内非定常流动与传热的数学模型 ,分别采用Godunov格式和控制容积法对气动方程及传热方程进行离散 ,得到了管内压力波形、气流速度及温度随时间的变化历程 .所得管内压力波在波形和相位上与实验结果吻合较好 ;排气初期的气流速度最大且温度最低 ;管内出现强反射激波 .提出的求解Riemann问题迭代初值可使迭代快速。

The unsteady flow and heat transfer in pressure wave refrigerator is investigated numerically in the present paper. The Godunov scheme and control volume method are used to solve the 1D Euler integral equations and heat transfer equation respectively. The results show that the highest velocity and the lowest temperature of the discharge gas occur in the initial stage of the discharge period. There exist strong reflective shock waves in the tube. The numerical result of pressure wave is in good agreement with the experimental ones. Also, a high quality initial value for solving the Riemann problem is developed.